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Finding the Fourth Proportional to 2,945.86, 4,065.05 and 1,619.48

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Solution

The fourth proportional to 2,945.86, 4,065.05 and 1,619.48 is: 2,234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.86 : 4,065.05 = 1,619.48 : x
  2. Step 2: Convert to fraction form
    2,945.86/4,065.05 = 1,619.48/x
  3. Step 3: Cross multiply
    2,945.86x = 4,065.05 × 1,619.48
  4. Step 4: Simplify right side
    2,945.86x = 6,583,267.17
  5. Step 5: Solve for x
    x = 6,583,267.17/2,945.86
  6. Step 6: Final answer
    x = 2,234.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.